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1444245408 = 25325878543
BaseRepresentation
bin101011000010101…
…0110111110100000
310201122121021020200
41112011112332200
510424211323113
6355151105200
750534612004
oct12605267640
93648537220
101444245408
11681269a51
12343812200
131a02a07a8
14d9b4c704
1586bd4873
hex56156fa0

1444245408 has 72 divisors (see below), whose sum is σ = 4114551168. Its totient is φ = 480538752.

The previous prime is 1444245379. The next prime is 1444245409. The reversal of 1444245408 is 8045424441.

1444245408 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 245 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1444245409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164785 + ... + 173327.

It is an arithmetic number, because the mean of its divisors is an integer number (57146544).

Almost surely, 21444245408 is an apocalyptic number.

1444245408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444245408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057275584).

1444245408 is an abundant number, since it is smaller than the sum of its proper divisors (2670305760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1444245408 is a wasteful number, since it uses less digits than its factorization.

1444245408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9146 (or 9135 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The square root of 1444245408 is about 38003.2289154488. The cubic root of 1444245408 is about 1130.3518908248.

Adding to 1444245408 its reverse (8045424441), we get a palindrome (9489669849).

The spelling of 1444245408 in words is "one billion, four hundred forty-four million, two hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 587 1174 1761 2348 3522 4696 5283 7044 8543 9392 10566 14088 17086 18784 21132 25629 28176 34172 42264 51258 56352 68344 76887 84528 102516 136688 153774 169056 205032 273376 307548 410064 615096 820128 1230192 2460384 5014741 10029482 15044223 20058964 30088446 40117928 45132669 60176892 80235856 90265338 120353784 160471712 180530676 240707568 361061352 481415136 722122704 1444245408